Riemann-Hilbert problems for the resolved conifold
Algebraic Geometry
2020-06-25 v6 High Energy Physics - Theory
Abstract
We study the Riemann-Hilbert problems associated to the Donaldson-Thomas theory of the resolved conifold. We give explicit solutions in terms of the Barnes double and triple sine functions. We show that the corresponding tau function is a non-perturbative partition function, in the sense that its asymptotic expansion coincides with the topological string partition function.
Cite
@article{arxiv.1703.02776,
title = {Riemann-Hilbert problems for the resolved conifold},
author = {Tom Bridgeland},
journal= {arXiv preprint arXiv:1703.02776},
year = {2020}
}
Comments
35 pages, 3 figures. This version corrects yet another sign error